Question

Please please help. 100 points!!

Answer 1

x=5 and y=8

Explanation:

First, set up a system of equations:

`2x+y=18\\y=4x-12`

Then, since equation 2 is already solved for y, substitute 4x-12 into equation 1 for y and solve the resulting equation for x:

`2x+y=18\\2x+(4x-12)=18\\6x-12=18\\(6x-12)+12=(18)+12\\6x=30\\(6x)/(6)=(30)/(6)\\x=5`

Next, substitute 5 for x in equation 2:

`y=4x-12\\y=4(5)-12\\y=20-12\\y=8`

To check the two solutions, substitute back into the original problem:

`2x+y=18\\2(5)+(8)=18\\10+8=18\\18=18`

and

`y=4x-12\\8=4(5)-12\\8=20-12\\8=8`